CN113688348A - Controllable load distributed coordination control method, device and system based on dynamic network switching topology - Google Patents
Controllable load distributed coordination control method, device and system based on dynamic network switching topology Download PDFInfo
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Abstract
The invention discloses a controllable load distributed coordination control method, a controllable load distributed coordination control device and a controllable load distributed coordination control system based on dynamic network switching topology, wherein the method comprises the steps of obtaining an adjustable load optimization regulation and control model under the excitation of electricity price; converting the adjustable load optimization regulation and control model into a switching topological structure according to the user participation state, and further obtaining a Lagrangian function; and solving the Lagrangian function to obtain a global optimal solution. The invention fully considers the dynamic characteristics of each controllable load aiming at the problems of numerous and dispersed controllable loads, carries out optimization control on the controllable loads based on a distributed coordination control theory, simultaneously develops the traditional distributed control strategy to a networked distributed control strategy under a dynamic switching topology aiming at the problems of communication network dynamics, topology switching and the like of the controllable loads, solves the problem of network topology dynamic switching which cannot be coped with by the traditional control method, and realizes the safe and stable control of the load side of the power system.
Description
Technical Field
The invention belongs to the technical field of power system automation, and particularly relates to a controllable load distributed coordination control method, device and system based on dynamic network switching topology.
Background
Because the power generation capacity of a local power grid is small and has large impact load, the regulation and control requirements brought by the impact load and new energy cannot be met only by the generator, and the load side needs to be effectively controlled to inhibit the influence brought by the fluctuation of the load side. The controllable loads are numerous and distributed, and the traditional control method has great limitation on the communication network dynamics, topology switching and the like of the controllable loads.
Disclosure of Invention
Aiming at the problems, the invention provides a controllable load distributed coordination control method, device and system based on dynamic network switching topology, which can solve the problem that the traditional control method cannot cope with dynamic switching of network topology and realize safe and stable control of the load side of a power system.
In order to achieve the technical purpose and achieve the technical effects, the invention is realized by the following technical scheme:
in a first aspect, the present invention provides a controllable load distributed coordination control method based on a dynamic network switching topology, including:
obtaining an adjustable load optimization regulation and control model under the excitation of electricity price;
converting the adjustable load optimization regulation and control model into a switching topological structure according to the user participation state, and further obtaining a Lagrangian function;
and solving the Lagrangian function to obtain a global optimal solution.
Optionally, the constraint conditions of the adjustable load optimization regulation and control model include:
and (3) load adjustment constraint:
wherein, the adjustment load of the user s at the time tUpper and lower limits oft is the load adjustment time t's、t″sRespectively adjusting the upper limit and the lower limit of time for the load of the user s;
participating in adjusting state constraints:
wherein the content of the first and second substances,represents the participation of the user s in the adjustment state at the moment t, and adjusts the time t ″s>t′s。
And (3) load balance constraint:
where s represents the s-th user, NsRepresenting the total number of generators, Ps,tFor the amount of load of user s at time t,representing the amount of load that user s takes part in the adjustment at time t.
Optionally, the optimization target of the adjustable load optimization regulation and control model is:
wherein, C2Representing a load compensation cost function, s representing the s-th user, NsRepresents the total number of generators, T is the load adjustment time, T represents the total load adjustment time,representing the state of participation of the user s in the adjustment at time t, α1,t、α2,t、α3,tRepresents a compensation factor, α1,t≠0,α2,t,Representing the amount of load the user is engaged in the adjustment at time t.
Optionally, according to the participation state of the user in a certain period, regarding the user as a variable of 0 to 1, if the user participates in the process, setting the participation adjustment state quantity to 1, otherwise setting 0; introduce Lagrange operator, orderγ2In order to coordinate the factors, the system is,c2is a control factor, andin conjunction with equation (1), the lagrange function is obtained as:
optionally, the solving the lagrangian function to obtain the global optimum specifically includes the following steps:
according to equation (5), Lagrangian functionTo pairThe derivation of the deviation can be derived:
the coordination between users is mainly performed by controlling a variable γ, and for a specific user within a fixed time period, it is expressed as:
wherein, γs(n +1) represents the control variable of user s at time n +1, γs(n) denotes the control variable, ξ, of the user s at time nsRepresenting the number of iteration steps, s' being a neighbor node of user s,adjacency matrix representing user communication topology, the matrix following participation stateIs dynamically switched, wherein the elements a in the adjacency matrix ass′Also affects the communication relations between different users, gammas′(n) represents the control variable of user s' at time n, for any one user s, if it is not involved in load adjustment,that is to say thatThen, the weight between neighbors is dynamically adjusted to obtain:
wherein, ass′Representing the weight between user s to user s', as′sRepresenting the weight from user s 'to user s, s' being two neighbor nodes of user s, ass″Representing the weight between user s and user s ″, as′s″Represents the weight between user s' to user s ";
coordination among different consumers is represented by a vector version as:
γ(n+1)=γ(n)+BU(n)γ(n) (10)
wherein the content of the first and second substances,BU=ξTLU,LUrepresents a laplace matrix with the following variations:
and (4) iterating the formula (10) to finally obtain a globally consistent and stable solution.
In a second aspect, the present invention provides a controllable load distributed coordination control apparatus based on a dynamic network switching topology, including:
the acquisition unit is used for acquiring an adjustable load optimization regulation and control model under the excitation of electricity price;
the computing unit is used for converting the adjustable load optimization regulation and control model into a switching topological structure according to the user participation state so as to obtain a Lagrangian function;
and the solving unit is used for solving the Lagrangian function to obtain a global optimal solution.
Optionally, the constraint conditions of the adjustable load optimization regulation and control model include:
and (3) load adjustment constraint:
wherein, the adjustment load of the user s at the time tUpper and lower limits oft is the load adjustment time, t ″sAnd t'sRespectively adjusting the upper limit and the lower limit of time for the load of the user s;
participating in adjusting state constraints:
wherein the content of the first and second substances,represents the participation of the user s in the adjustment state at the moment t, and adjusts the time t ″s>t′s。
And (3) load balance constraint:
where s represents the s-th user, NsRepresenting the total number of generators, Ps,tFor the amount of load of user s at time t,representing the amount of load that user s takes part in the adjustment at time t.
Optionally, the optimization target of the adjustable load optimization regulation and control model is:
wherein, C2Representing a load compensation cost function, s representing the s-th user, NsRepresents the total number of generators, T is the load adjustment time, T represents the total load adjustment time,representing the state of participation of the user s in the adjustment at time t, α1,t、α2,t、α3,tRepresents a compensation factor, α1,t≠0,α2,t, Representing the amount of load the user is engaged in the adjustment at time t.
Optionally, according to the participation state of the user in a certain period, regarding the user as a variable of 0 to 1, if the user participates in the process, setting the participation adjustment state quantity to 1, otherwise setting 0; introduce Lagrange operator, orderγ2In order to coordinate the factors, the system is,c2is a control factor, andin conjunction with equation (1), the lagrange function is obtained as:
optionally, the solving the lagrangian function to obtain the global optimum specifically includes the following steps:
according to equation (5), Lagrangian functionTo pairThe derivation of the deviation can be derived:
the coordination between users is mainly performed by controlling the variable γ, and for a specific user in a fixed time period, it can be expressed as:
wherein, γs(n +1) represents the control variable of user s at time n +1, γs(n) denotes the control variable, ξ, of the user s at time nsRepresenting the number of iteration steps, s' being a neighbor node of user s,adjacency matrix representing user communication topology, the matrix following participation stateIs dynamically switched over in accordance with the change of (c),wherein the elements a in the adjacency matrix Ass′Also affects the communication relations between different users, gammas′(n) represents the control variable of the subscriber s' at the time n, which means that for any subscriber s, if it is not involved in the load regulationThen, the weight between neighbors is dynamically adjusted to obtain:
wherein, ass′Representing the weight between user s to user s', as′sRepresenting the weight from user s 'to user s, s' being two neighbor nodes of user s, ass″Representing the weight between user s and user s ″, as′s″Represents the weight between user s' to user s ";
coordination among different consumers can be represented in vector versions as:
γ(n+1)=γ(n)+BU(n)γ(n) (10)
wherein the content of the first and second substances,BU=ξTLU,LUrepresents a laplace matrix with the following variations:
and (4) iterating the formula (10) to finally obtain a globally consistent and stable solution.
In a third aspect, the present invention provides a controllable load distributed coordination control system based on a dynamic network switching topology, including: a storage medium and a processor;
the storage medium is used for storing instructions;
the processor is configured to operate in accordance with the instructions to perform the method according to any one of the first aspects.
Compared with the prior art, the invention has the beneficial effects that:
the invention fully considers the dynamic characteristics of each controllable load aiming at the problems of numerous and dispersed controllable loads, carries out optimization control on the controllable loads based on a distributed coordination control theory, simultaneously develops the traditional distributed control strategy to a networked distributed control strategy under a dynamic switching topology aiming at the problems of communication network dynamics, topology switching and the like of the controllable loads, solves the problem of network topology dynamic switching which cannot be coped with by the traditional control method, and realizes the safe and stable control of the load side of the power system.
Drawings
In order that the present disclosure may be more readily and clearly understood, reference is now made to the following detailed description of the present disclosure taken in conjunction with the accompanying drawings, in which:
fig. 1 is a schematic flowchart of a controllable load distributed coordination control based on a dynamic network switching topology according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the following embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and do not limit the scope of the invention.
The following detailed description of the principles of the invention is provided in connection with the accompanying drawings.
Example 1
The invention provides a controllable load distributed coordination control method based on dynamic network switching topology, as shown in fig. 1, specifically comprising the following steps:
(1) obtaining an adjustable load optimization regulation and control model under the excitation of electricity price;
(2) converting the adjustable load optimization regulation and control model into a switching topological structure according to the user participation state, and further obtaining a Lagrangian function;
(3) and solving the Lagrange function by using a distributed coordination control theory and a distributed coordination control method to obtain a global optimal solution.
In a specific implementation manner of the embodiment of the present invention, the constraint condition of the adjustable load optimization regulation and control model includes:
and (3) load adjustment constraint:
wherein, the adjustment load of the user s at the time tUpper and lower limits oft is the load adjustment time t'sAnd t ″)sRespectively adjusting the upper limit and the lower limit of time for the load of the user s;
participating in adjusting state constraints:
wherein the content of the first and second substances,represents the participation of the user s in the adjustment state at the moment t, and adjusts the time t ″s>t′s。
And (3) load balance constraint:
where s represents the s-th user, NsRepresenting the total number of generators, Ps,tFor the amount of load of user s at time t,representing the load of the user s participating in the adjustment at time tAmount of the compound (A).
The optimization target of the adjustable load optimization regulation and control model is as follows:
wherein, C2Representing a load compensation cost function, s representing the s-th user, NsRepresents the total number of generators, T is the load adjustment time, T represents the total load adjustment time,representing the state of participation of the user s in the adjustment at time t, α1,t、α2,t、α3,tRepresents a compensation factor, α1,t≠0,α2,t,Representing the amount of load the user is engaged in the adjustment at time t.
According to the participation state of a user in a certain period, the user is regarded as a variable 0-1, if the user participates in the state, the participation adjustment state quantity is set to be 1, and if the user does not participate in the state, the participation adjustment state quantity is set to be 0; introduce Lagrange operator, orderγ2In order to coordinate the factors, the system is,c2is a control factor, andin conjunction with equation (1), the lagrange function is obtained as:
the solving of the Lagrangian function to obtain the global optimum specifically comprises the following steps:
according to equation (5), Lagrangian functionTo pairThe derivation of the deviation can be derived:
the coordination between users is mainly performed by controlling the variable γ, and for a specific user in a fixed time period, it can be expressed as:
wherein, γs(n +1) represents the control variable of user s at time n +1, γs(n) denotes the control variable, ξ, of the user s at time nsRepresenting the number of iteration steps, s' being a neighbor node of user s,adjacency matrix representing user communication topology, the matrix following participation stateIs dynamically switched, wherein the elements a in the adjacency matrix ass′Also affects the communication relations between different users, gammas′(n) represents the control variable of user s' at time n, for any oneSubscriber s, if it is not involved in load adjustment, meansThen, the weight between neighbors is dynamically adjusted to obtain:
wherein, ass′Representing the weight between user s to user s', as′sRepresenting the weight from user s 'to user s, s' being two neighbor nodes of user s, ass″Representing the weight between user s and user s ″, as′s″Representing the weight between user s' to user s ".
Coordination among different consumers can be represented in vector versions as:
γ(n+1)=γ(n)+BU(n)γ(n) (10)
wherein the content of the first and second substances,BU=ξTLU,LUrepresents a laplace matrix with the following variations:
and (4) iterating the formula (10) to finally obtain a globally consistent and stable solution.
Example 2
Based on the same inventive concept as embodiment 1, the embodiment of the present invention provides a controllable load distributed coordination control apparatus based on a dynamic network switching topology, including:
the acquisition unit is used for acquiring an adjustable load optimization regulation and control model under the excitation of electricity price;
the computing unit is used for converting the adjustable load optimization regulation and control model into a switching topological structure according to the user participation state so as to obtain a Lagrangian function;
and the solving unit is used for solving the Lagrangian function to obtain a global optimal solution.
The constraint conditions of the adjustable load optimization regulation and control model comprise:
and (3) load adjustment constraint:
wherein, the adjustment load of the user s at the time tUpper and lower limits oft is the load adjustment time t'sAnd t ″)sAnd respectively adjusting the upper limit and the lower limit of the time for the load of the user s.
Participating in adjusting state constraints:
wherein the content of the first and second substances,represents the participation of the user s in the adjustment state at the moment t, and adjusts the time t ″s>t′s。
And (3) load balance constraint:
where s represents the s-th user, NsRepresenting the total number of generators, Ps,tFor the amount of load of user s at time t,representing the participation of user s in the adjustment at time tThe amount of charge.
The optimization target of the adjustable load optimization regulation and control model is as follows:
wherein, C2Representing a load compensation cost function, s representing the s-th user, NsRepresents the total number of generators, T is the load adjustment time, T represents the total load adjustment time,representing the state of participation of the user s in the adjustment at time t, α1,t、α2,t、α3,tRepresents a compensation factor, α1,t≠0,α2,t, Representing the amount of load the user is engaged in the adjustment at time t.
According to the participation state of a user in a certain period, the user is regarded as a variable 0-1, if the user participates in the state, the participation adjustment state quantity is set to be 1, and if the user does not participate in the state, the participation adjustment state quantity is set to be 0; introduce Lagrange operator, orderγ2In order to coordinate the factors, the system is,c2is a control factor, andin conjunction with equation (1), the lagrange function is obtained as:
the solving of the Lagrangian function to obtain the global optimum specifically comprises the following steps:
according to equation (5), Lagrangian functionTo pairThe derivation of the deviation can be derived:
the coordination between users is mainly performed by controlling the variable γ, and for a specific user in a fixed time period, it can be expressed as:
wherein, γs(n +1) represents the control variable of user s at time n +1, γs(n) denotes the control variable, ξ, of the user s at time nsRepresenting the number of iteration steps, s' being a neighbor node of user s,adjacency matrix representing user communication topology, the matrix following participation stateIs dynamically switched, wherein the elements a in the adjacency matrix ass′Also affects the communication relations between different users, gammas′(n) represents the control variable of the subscriber s' at the time n, which means that for any subscriber s, if it is not involved in the load regulationThen, the weight between neighbors is dynamically adjusted to obtain:
wherein, ass′Representing the weight between user s to user s', as′sRepresenting the weight from user s 'to user s, s' being two neighbor nodes of user s, ass″Representing the weight between user s and user s ″, as′s″Representing the weight between user s' to user s ".
The adjacency matrix A may be rewritten asWhen the user participates in the load adjustment, the user can switch to different versions. For simplicity, the coordination between different consumers may be represented in vector versions as:
γ(n+1)=γ(n)+BU(n)γ(n) (10)
wherein the content of the first and second substances,BU=ξTLU,LUrepresents a laplace matrix with the following variations:
and (4) iterating the formula (10) to finally obtain a globally consistent and stable solution.
Example 3
The embodiment of the invention provides a controllable load distributed coordination control device based on dynamic network switching topology, which comprises: a storage medium and a processor;
the storage medium is used for storing instructions;
the processor is configured to operate in accordance with the instructions to perform the method of any of embodiment 1.
The foregoing shows and describes the general principles and broad features of the present invention and advantages thereof. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are described in the specification and illustrated only to illustrate the principle of the present invention, but that various changes and modifications may be made therein without departing from the spirit and scope of the present invention, which fall within the scope of the invention as claimed. The scope of the invention is defined by the appended claims and equivalents thereof.
Claims (11)
1. A controllable load distributed coordination control method based on dynamic network switching topology is characterized by comprising the following steps:
obtaining an adjustable load optimization regulation and control model under the excitation of electricity price;
converting the adjustable load optimization regulation and control model into a switching topological structure according to the user participation state, and further obtaining a Lagrangian function;
and solving the Lagrangian function to obtain a global optimal solution.
2. The controllable load distributed coordination control method based on dynamic network switching topology according to claim 1, wherein the constraint condition of the adjustable load optimization regulation and control model comprises:
and (3) load adjustment constraint:
wherein, the adjustment load of the user s at the time tUpper and lower limits oft is the load adjustment time t's、t″sRespectively adjusting the upper limit and the lower limit of time for the load of the user s;
participating in adjusting state constraints:
wherein the content of the first and second substances,represents the participation of the user s in the adjustment state at the moment t, and adjusts the time t ″s>t′s。
And (3) load balance constraint:
3. The controllable load distributed coordination control method based on the dynamic network switching topology according to claim 1, wherein the optimization goal of the adjustable load optimization regulation model is:
wherein, C2To representLoad compensation cost function, s represents the s-th user, NsRepresents the total number of generators, T is the load adjustment time, T represents the total load adjustment time,representing the state of participation of the user s in the adjustment at time t, α1,t、α2,t、α3,tRepresents a compensation factor, α1,t≠0,α2,t, Representing the amount of load the user is engaged in the adjustment at time t.
4. The controllable load distributed coordination control method based on the dynamic network switching topology according to claim 3, characterized in that: according to the participation state of a user in a certain period, the user is regarded as a variable 0-1, if the user participates in the state, the participation adjustment state quantity is set to be 1, and if the user does not participate in the state, the participation adjustment state quantity is set to be 0; introduce Lagrange operator, orderγ2In order to coordinate the factors, the system is,c2is a control factor, andin conjunction with equation (1), the lagrange function is obtained as:
5. the controllable load distributed coordination control method based on dynamic network switching topology according to claim 4,
the method is characterized in that: the solving of the Lagrangian function to obtain the global optimum specifically comprises the following steps:
according to equation (5), Lagrangian functionTo pairThe derivation of the deviation can be derived:
the coordination between users is mainly performed by controlling a variable γ, and for a specific user within a fixed time period, it is expressed as:
wherein, γs(n +1) represents the control variable of user s at time n +1, γs(n) denotes the control variable, ξ, of the user s at time nsRepresenting the number of iteration steps, s' being a neighbor node of user s,adjacency matrix representing user communication topology, the matrix being dependent on parametersAnd stateIs dynamically switched, wherein the elements a in the adjacency matrix ass′Also affects the communication relations between different users, gammas′(n) represents the control variable of the subscriber s' at the time n, which means that for any subscriber s, if it is not involved in the load regulationThen, the weight between neighbors is dynamically adjusted to obtain:
wherein, ass′Representing the weight between user s to user s', as′sRepresenting the weight from user s 'to user s, s' being two neighbor nodes of user s, ass″Representing the weight between user s and user s ″, as′s″Represents the weight between user s' to user s ";
coordination among different consumers is represented by a vector version as:
γ(n+1)=γ(n)+BU(n)γ(n) (10)
wherein the content of the first and second substances,BU=ξTLU,LUrepresents a laplace matrix with the following variations:
and (4) iterating the formula (10) to finally obtain a globally consistent and stable solution.
6. A controllable load distributed coordination control device based on dynamic network switching topology is characterized by comprising:
the acquisition unit is used for acquiring an adjustable load optimization regulation and control model under the excitation of electricity price;
the computing unit is used for converting the adjustable load optimization regulation and control model into a switching topological structure according to the user participation state so as to obtain a Lagrangian function;
and the solving unit is used for solving the Lagrangian function to obtain a global optimal solution.
7. The device according to claim 6, wherein the constraint conditions of the adjustable load optimization regulation and control model include:
and (3) load adjustment constraint:
wherein, the adjustment load of the user s at the time tUpper and lower limits oft is the load adjustment time, t ″sAnd t'sRespectively adjusting the upper limit and the lower limit of time for the load of the user s;
participating in adjusting state constraints:
wherein the content of the first and second substances,represents the participation of the user s in the adjustment state at the moment t, and adjusts the time t ″s>t′s。
And (3) load balance constraint:
8. The controllable load distributed coordination control device based on dynamic network switching topology according to claim 7, wherein the optimization goal of the adjustable load optimization regulation and control model is:
wherein, C2Representing a load compensation cost function, s representing the s-th user, NsRepresents the total number of generators, T is the load adjustment time, T represents the total load adjustment time,representing the state of participation of the user s in the adjustment at time t, α1,t、α2,t、α3,tRepresents a compensation factor, α1,t≠0,α2,t, Representing the amount of load the user is engaged in the adjustment at time t.
9. The apparatus according to claim 8, wherein the user is considered as a variable 0-1 according to the participation status of the user in a certain period, if the user participates in the network, the user will participate in adjusting the status to set 1, otherwise, the user sets 0; introduce Lagrange operator, orderγ2In order to coordinate the factors, the system is,c2is a control factor, andin conjunction with equation (1), the lagrange function is obtained as:
10. the controllable load distributed coordination control device based on dynamic network switching topology according to claim 9,
the method is characterized in that the Lagrangian function is solved to obtain the global optimum, and the method specifically comprises the following steps:
according to equation (5), Lagrangian functionTo pairThe derivation of the deviation can be derived:
the coordination between users is mainly performed by controlling the variable γ, and for a specific user in a fixed time period, it can be expressed as:
wherein, γs(n +1) represents the control variable of user s at time n +1, γs(n) denotes the control variable, ξ, of the user s at time nsRepresenting the number of iteration steps, s' being a neighbor node of user s,adjacency matrix representing user communication topology, the matrix following participation stateIs dynamically switched, wherein the elements a in the adjacency matrix ass′Also affects the communication relations between different users, gammas′(n) represents the control variable of the subscriber s' at the time n, which means that for any subscriber s, if it is not involved in the load regulationThen, the weight between neighbors is dynamically adjusted to obtain:
wherein, ass′Representing the weight between user s to user s', as′sRepresenting the weight from user s 'to user s, s' being two neighbor nodes of user s, ass″Representing the weight between user s and user s ″, as′s″Represents the weight between user s' to user s ";
coordination among different consumers can be represented in vector versions as:
γ(n+1)=γ(n)+BU(n)γ(n) (10)
wherein the content of the first and second substances,BU=ξTLU,LUrepresents a laplace matrix with the following variations:
and (4) iterating the formula (10) to finally obtain a globally consistent and stable solution.
11. A controllable load distributed coordination control system based on dynamic network switching topology is characterized by comprising: a storage medium and a processor;
the storage medium is used for storing instructions;
the processor is configured to operate in accordance with the instructions to perform the method of any of claims 1-5.
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